388600 has 48 divisors (see below), whose sum is σ = 948600. Its totient is φ = 147840.

The previous prime is 388573. The next prime is 388621. The reversal of 388600 is 6883.

388600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

388600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5767 + ... + 5833.

2³⁸⁸⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474300).

388600 is an abundant number, since it is smaller than the sum of its proper divisors (560000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

388600 is a wasteful number, since it uses less digits than its factorization.

388600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 388600 is about 623.3778950203. The cubic root of 388600 is about 72.9739069815.

The spelling of 388600 in words is "three hundred eighty-eight thousand, six hundred".